Continuous dependence of attractors on the shape of domain

被引：1

作者：

Babin A.V.

Pilyugin S.Yu.

机构：

来源：

Journal of Mathematical Sciences | 1997年 / 87卷 / 2期

关键词：

Boundary Condition; Bounded Domain; Dirichlet Boundary; Dirichlet Boundary Condition; Global Attractor;

D O I：

10.1007/BF02355582

中图分类号：

学科分类号：

摘要：

Let Ω0 be a bounded domain in ℝn, let G be a family of diffeomorphisms, and let ΩG = G(Ω 0) for G ∈ G. Denote by Et(G) the semigroup generated by a fixed parabolic PDE with Dirichlet boundary conditions on the boundary of ΩG. Let AG be the global attractor of E t(G). Conditions are given under which a generic diffeomorphism G ∈ G is a continuity point of the map G → AG. © 1997 Plenum Publishing Corporation.

引用

页码：3304 / 3310

页数：6

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